Chithra A. V.

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math.CO2025

On the non-zero divisor graph of the Hamilton quaternions over $Z_{2^{n}}$

Gopika Govind, Chithra A., Manibharathi T. M. S

Let $R$ be a ring with unity. The non-zero divisor graph of $R$ , $Φ (R)$ , is the graph with vertex set $R \ {0, 1, - 1}$ , and two vertices $x$ and $y$ are adjacent if and onl…

math.CO2024

On the Construction of Singular and Cospectral Hypergraphs

Liya Jess Kurian, Chithra A.

In this paper, we define two operations, neighbourhood m-splitting hypergraph $N S_{m} (G^{*})$ and non-neighbourhood splitting hypergraph $N N S (G^{*})$ , and obtain seve…

math.CO2024

On irreducibility of eccentricity matrix of graphs and construction of $ε -$ equienergetic graphs

Anjitha Ashokan, Chithra A

The eccentricity matrix $ε (G)$ , of a connected graph $G$ is obtained by retaining the maximum distance from each row and column of the distance matrix of $G$ and the other entries…

On the non-zero divisor graph of the Hamilton quaternions over Z2n​

On the Construction of Singular and Cospectral Hypergraphs

On irreducibility of eccentricity matrix of graphs and construction of ε−equienergetic graphs

On the non-zero divisor graph of the Hamilton quaternions over $Z_{2^{n}}$

On irreducibility of eccentricity matrix of graphs and construction of $ε -$ equienergetic graphs